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Finding the Third Proportional to 122,251.78 and 188,894.53

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Solution

The third proportional to 122,251.78 and 188,894.53 is: 291,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,251.78 : 188,894.53 = 188,894.53 : x
  2. Step 2: Convert to fraction form
    122,251.78/188,894.53 = 188,894.53/x
  3. Step 3: Cross multiply
    122,251.78x = 188,894.53 × 188,894.53
  4. Step 4: Simplify right side
    122,251.78x = 35,681,143,936.16
  5. Step 5: Solve for x
    x = 35,681,143,936.16/122,251.78
  6. Step 6: Final answer
    x = 291,866.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.